Localization length in the quasi one-dimensional disordered system revisited

Gasparian, V.; Cuevas, E.

doi:10.1016/j.ssc.2013.03.029

Cited by 3 publications

(2 citation statements)

References 22 publications

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“…Therefore the correction term |r 11 |sin(θ r11 ) to semi-classical injectance (Eq. (39)) is zero at M and N . Thus at M and N , the semi classical injectance (Eq.…”

Section: Im(t)mentioning

confidence: 97%

“…This essentially means, there is a single propagating channel while all other channels are evanescent. These evanescent channels are characteristic of quasi one dimension (Q1D), and make this scattering potential completely different from that of a delta function potential in one dimension [37,38,39]. This system gained relevance with respect to the experiments of Schuster et al [1], Yang Ji et al [2,3], etc., because it too shows phase drops [9] like those observed in case of the stub.…”

Section: Single Channel Quantum Wirementioning

confidence: 99%

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Negative partial density of states in mesoscopic systems

Satpathi

Deo

2016

Annals of Physics

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Since the experimental observation of quantum mechanical scattering phase shift in mesoscopic systems, several aspects of it has not yet been understood. The experimental observations has also accentuated many theoretical problems related to Friedel sum rule and negativity of partial density of states. We address these problems using the concepts of Argand diagram and Burgers circuit. We can prove the possibility of negative partial density of states in mesoscopic systems. Such a conclusive and general evidence cannot be given in one, two or three dimensions. We can show a general connection between phase drops and exactness of semi classical Friedel sum rule. We also show Argand diagram for a scattering matrix element can be of few classes based on their topology and all observations can be classified accordingly.

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“…Therefore the correction term |r 11 |sin(θ r11 ) to semi-classical injectance (Eq. (39)) is zero at M and N . Thus at M and N , the semi classical injectance (Eq.…”

Section: Im(t)mentioning

confidence: 97%

Section: Single Channel Quantum Wirementioning

confidence: 99%

Negative partial density of states in mesoscopic systems

Satpathi

Deo

2016

Annals of Physics

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Transport through quasi-one-dimensional wires with correlated disorder

Herrera-González

2014

Phys. Rev. E

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We study transport properties of bulk-disordered quasi-one-dimensional (Q1D) wires paying main attention to the role of long-range correlations embedded into the disorder. First, we show that for stratified disorder for which the disorder is the same for all individual chains forming the Q1D wire, the transport properties can be analytically described provided the disorder is weak. When the disorder in every chain is not the same, however, has the same binary correlator, the general theory is absent. Thus, we consider the case when only one channel is open and all others are closed. For this situation we suggest a semi-analytical approach which is quite effective for the description of the total transmission coefficient. Our numerical data confirm the validity of our approach. Such Q1D disordered structures with anomalous transport properties can be the subject of an experimental study.

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